SURE threshold for denoising complex signals with Waveshrink

Guohua Wei; Siliang Wu

doi:10.1117/12.538872

SURE threshold for denoising complex signals with Waveshrink

Guohua Wei^*, Siliang Wu

^*Corresponding author for this work

School of Information and Electronics

Research output: Contribution to journal › Conference article › peer-review

2 Citations (Scopus)

Abstract

Waveshrink has proven to be a powerful tool for the problem of signal extraction from noisy data. A key step of the procedure is the selection of the threshold parameter. Donoho and Johnstone propose of the threshold based on a SURE procedure for real signals. In this paper, we discuss the issue of threshold selection for complex signals in Waveshrink. We first review the threshold selection procedure based minimax thresholds and then propose to extend the use of SURE procedure for denoising complex signals with complex wavelet transforms. At last, an example is used to show that the extended SURE procedure is an effective method for denoising complex signals.

Original language	English
Pages (from-to)	103-108
Number of pages	6
Journal	Proceedings of SPIE - The International Society for Optical Engineering
Volume	5286
Issue number	1
DOIs	https://doi.org/10.1117/12.538872
Publication status	Published - 2003
Event	Third International Symposium on Multispectral Image Processing and Pattern Recognition - Beijing, China Duration: 20 Oct 2003 → 22 Oct 2003

Keywords

Complex signals
Complex wavelet transform
Nonparametric denoising Waveshrink
SURE

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10.1117/12.538872

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title = "SURE threshold for denoising complex signals with Waveshrink",

abstract = "Waveshrink has proven to be a powerful tool for the problem of signal extraction from noisy data. A key step of the procedure is the selection of the threshold parameter. Donoho and Johnstone propose of the threshold based on a SURE procedure for real signals. In this paper, we discuss the issue of threshold selection for complex signals in Waveshrink. We first review the threshold selection procedure based minimax thresholds and then propose to extend the use of SURE procedure for denoising complex signals with complex wavelet transforms. At last, an example is used to show that the extended SURE procedure is an effective method for denoising complex signals.",

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author = "Guohua Wei and Siliang Wu",

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T1 - SURE threshold for denoising complex signals with Waveshrink

AU - Wei, Guohua

AU - Wu, Siliang

PY - 2003

Y1 - 2003

N2 - Waveshrink has proven to be a powerful tool for the problem of signal extraction from noisy data. A key step of the procedure is the selection of the threshold parameter. Donoho and Johnstone propose of the threshold based on a SURE procedure for real signals. In this paper, we discuss the issue of threshold selection for complex signals in Waveshrink. We first review the threshold selection procedure based minimax thresholds and then propose to extend the use of SURE procedure for denoising complex signals with complex wavelet transforms. At last, an example is used to show that the extended SURE procedure is an effective method for denoising complex signals.

AB - Waveshrink has proven to be a powerful tool for the problem of signal extraction from noisy data. A key step of the procedure is the selection of the threshold parameter. Donoho and Johnstone propose of the threshold based on a SURE procedure for real signals. In this paper, we discuss the issue of threshold selection for complex signals in Waveshrink. We first review the threshold selection procedure based minimax thresholds and then propose to extend the use of SURE procedure for denoising complex signals with complex wavelet transforms. At last, an example is used to show that the extended SURE procedure is an effective method for denoising complex signals.

KW - Complex signals

KW - Complex wavelet transform

KW - Nonparametric denoising Waveshrink

KW - SURE

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VL - 5286

SP - 103

EP - 108

JO - Proceedings of SPIE - The International Society for Optical Engineering

JF - Proceedings of SPIE - The International Society for Optical Engineering

IS - 1

T2 - Third International Symposium on Multispectral Image Processing and Pattern Recognition

Y2 - 20 October 2003 through 22 October 2003

ER -

SURE threshold for denoising complex signals with Waveshrink

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Keywords

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